MA 551 - Introduction to Topology

Instructor:  Tye Lidman
E-mail: tlid `at' math `dot' ncsu `dot' edu
Office: SAS 3246
Office Hours:
Tu 1:30-2:30, W 2-3
Course Location: SAS 1220
Course Time:
TuTh 11:45-1:00PM

Course Syllabus

 

Lectures

Lecture 1 - Introduction, Topological Spaces, Bases (8/17)

Lecture 2 - Bases, Subspace Topology (8/22)

Lecture 3 - Product Topology, Interiors, Closed Sets (8/24)

Lecture 4 - Closed sets and more (8/29)

Lecture 5 - Continuous functions (8/31)

Lecture 6 - Product and box topologies (9/5)

Lecture 7 - Metric spaces (9/7)

Lecture 8 - More metric spaces (9/12)

Lecture 9 - Connectedness (9/14)

Lecture 10 - More on connectedness (9/19)

Lecture 11 - Path and local connectedness (9/21)

Lecture 12 - Topological groups (9/26)

Lecture 13 - Quotient topology (9/28)

Lecture 14 - Compactness (10/3)

Lecture 15 - More Compactness (10/10)

Lecture 16 - Even More Compactness (10/17)

Lecture 17 - Separability (10/19)

Lecture 18 - Baire Category Theorem (10/24)

Lecture 19 - Local Compactness (10/26)

Lecture 20 - Intro to Algebraic Topology (10/31)

Lecture 21 - The fundamental group (11/2)

Lecture 22 - Applications of the fundamental group (11/7)

Lecture 23 - The fundamental group of the circle (11/9)

Lecture 24 - More on the fundamental group (11/14)

Lecture 25 - Free products (11/16)

Lecture 26 - Seifert-van Kampen (11/21)

Lecture 27 - More Seifert-van Kampen (11/28)

Lecture 28 - Even more Seifert-van Kampen (11/30)


Homework

Homework 1 (Due 8/24)

Homework 2 (Due 8/31)

Homework 3 (Due 9/7)

Homework 4 (Due 9/14)

Homework 5 (Due 9/22)

Homework 6 (Due 9/29)

Homework 7 (Due 10/12)

Homework 8 (Due 10/19)

Homework 9 (Due 10/26)

Homework 10 (Due 11/2)

Homework 11 (Due 11/9)

Homework 12 (Due 11/16)

Homework 13 (Due 11/30)